rigid body on windscreen of a car
It could work in a way like this (see the example .blend in the linked zip file below):


add an empty with the Z (mandatory!) axis along the axis of rotation you expect for the windscreen
add a (physics) "rigid body" passive setting for the body of the car (or whatever should "hold" the windscreen), set it to "animated"
add a (physics) "rigid body" active setting for the windscreen
set a (physics) "rigid body constraint" setting for the empty and set the windscreen as object 1 and the "body" (or whatever) as object 2
set Z axis limits for this constraint ( I used -5°/+80°)
select windscreen, then the "body" (or whatever) and CTRL-P to parent the them. Do the same with the empty.


now, if the car is animated and then stops, the windscreen behaves similarly to what you expect. You may have to adjust settings, damping, friction, etc.

to see my example, open the .blend in this .zip, and press ALT-A to start the animation: http://amrc.altervista.org/wp-content/uploads/2015/10/rigid.blend_.zip